TSTP Solution File: NUM627+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : NUM627+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n018.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Mon Jul 18 14:12:22 EDT 2022

% Result   : Theorem 15.64s 15.80s
% Output   : Refutation 15.64s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   12 (   8 unt;   2 nHn;  12 RR)
%            Number of literals    :   20 (   0 equ;   9 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :    5 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(43,axiom,
    ( ~ aElementOf0(X,szNzAzT0)
    | aElementOf0(szszuzczcdt0(X),szNzAzT0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSuccNum) ).

cnf(57,axiom,
    ( ~ aElementOf0(X,szNzAzT0)
    | ~ aElementOf0(Y,szNzAzT0)
    | sdtlseqdt0(X,Y)
    | sdtlseqdt0(szszuzczcdt0(Y),X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessTotal) ).

cnf(160,hypothesis,
    ( ~ aElementOf0(X,szNzAzT0)
    | ~ aElementOf0(Y,szNzAzT0)
    | ~ sdtlseqdt0(Y,X)
    | aSubsetOf0(sdtlpdtrp0(xN,X),sdtlpdtrp0(xN,Y)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3754) ).

cnf(210,hypothesis,
    aElementOf0(xn,szNzAzT0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5309) ).

cnf(216,hypothesis,
    aElementOf0(xm,szNzAzT0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5389) ).

cnf(219,hypothesis,
    ~ aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,szszuzczcdt0(xn))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5442) ).

cnf(220,hypothesis,
    ~ aSubsetOf0(sdtlpdtrp0(xN,xn),sdtlpdtrp0(xN,xm)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5461) ).

cnf(279,plain,
    aElementOf0(szszuzczcdt0(xn),szNzAzT0),
    inference('HYPERRESOLVE',[status(thm)],[43,210]) ).

cnf(461,plain,
    ( sdtlseqdt0(xm,xn)
    | sdtlseqdt0(szszuzczcdt0(xn),xm) ),
    inference('HYPERRESOLVE',[status(thm)],[57,216,210]) ).

cnf(519,plain,
    ~ sdtlseqdt0(xm,xn),
    inference('UR-RESOLVE',[status(thm)],[160,210,216,220]) ).

cnf(520,plain,
    sdtlseqdt0(szszuzczcdt0(xn),xm),
    inference('REWRITE',[status(thm)],[461,519]) ).

cnf(18881,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[160,279,216,219]),520]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : NUM627+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n018.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Tue Jul  5 05:31:37 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46  * 
% 0.19/0.46  * 
% 0.19/0.47  #<PACKAGE "SNARK-USER">
% 0.19/0.47  * 
% 0.19/0.47  SNARK-TPTP-OPTIONS
% 0.19/0.47  * 
% 0.19/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47   (USE-FACTORING :POS)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47  * 
% 0.19/0.47  "."
% 0.19/0.47  * 
% 0.19/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-05T05:31:37
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-07-05T05:31:37
% 15.64/15.80  
% 15.64/15.80  
% 15.64/15.80  #||
% 15.64/15.80  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.64/15.80  % SZS output start Refutation
% See solution above
% 15.64/15.80  ||#
% 15.64/15.80  
% 15.64/15.80  ; Summary of computation:
% 15.64/15.80  ;     23733 formulas have been input or derived (from 328 formulas).
% 15.64/15.80  ;     18881 (80%) were retained.  Of these,
% 15.64/15.80  ;          726 ( 4%) were simplified or subsumed later,
% 15.64/15.80  ;        18155 (96%) are still being kept.
% 15.64/15.80  ; 
% 15.64/15.80  ; Run time in seconds excluding printing time:
% 15.64/15.80  ;     0.028   0%   Read assertion file          (1 call)
% 15.64/15.80  ;     0.006   0%   Assert                       (119 calls)
% 15.64/15.80  ;     1.738  11%   Process new row              (22,825 calls)
% 15.64/15.80  ;     8.028  52%   Resolution                   (654 calls)
% 15.64/15.80  ;     0.005   0%   Paramodulation               (327 calls)
% 15.64/15.80  ;     0.031   0%   Condensing                   (16,391 calls)
% 15.64/15.80  ;     3.706  24%   Forward subsumption          (16,391 calls)
% 15.64/15.80  ;     1.025   7%   Backward subsumption         (15,659 calls)
% 15.64/15.80  ;     0.020   0%   Clause clause subsumption    (7,768 calls)
% 15.64/15.80  ;     0.532   3%   Forward simplification       (22,825 calls)
% 15.64/15.80  ;     0.066   0%   Backward simplification      (18,878 calls)
% 15.64/15.80  ;     0.042   0%   Ordering                     (44,366 calls)
% 15.64/15.80  ;     0.001   0%   Sortal reasoning             (32 calls)
% 15.64/15.80  ;     0.000   0%   Purity testing               (1 call)
% 15.64/15.80  ;     0.103   1%   Other
% 15.64/15.80  ;    15.331        Total
% 15.64/15.80  ;    15.335        Real time
% 15.64/15.80  ; 
% 15.64/15.81  ; Term-hash-array has 45,525 terms in all.
% 15.64/15.81  ; Feature-vector-row-index has 14,995 entries (14,995 at peak, 15,659 added, 664 deleted).
% 15.64/15.81  ; Feature-vector-row-index has 76,917 nodes (76,917 at peak, 79,551 added, 2,634 deleted).
% 15.64/15.81  ;  Retrieved 23,598 possibly forward subsuming rows in 16,391 calls.
% 15.64/15.81  ;  Retrieved 17,578 possibly backward subsumed rows in 15,659 calls.
% 15.64/15.81  ; Path-index has 45,318 entries (45,318 at peak, 46,740 added, 1,422 deleted).
% 15.64/15.81  ; Path-index has 3,868 nodes (3,868 at peak, 3,950 added, 82 deleted).
% 15.64/15.81  ; Trie-index has 45,318 entries (45,318 at peak, 46,740 added, 1,422 deleted).
% 15.64/15.81  ; Trie-index has 82,820 nodes (82,820 at peak, 85,114 added, 2,294 deleted).
% 15.64/15.81  ; Retrieved 7,518 generalization terms in 110,953 calls.
% 15.64/15.81  ; Retrieved 3,223 instance terms in 3,218 calls.
% 15.64/15.81  ; Retrieved 28,241,836 unifiable terms in 243,492 calls.
% 15.64/15.81  ; 
% 15.64/15.81  ; The agenda of rows to process has 566 entries:
% 15.64/15.81  ;    20 with value 9               1 with value 21              42 with value 38
% 15.64/15.81  ;    34 with value 10              1 with value 22              51 with value 39
% 15.64/15.81  ;    37 with value 11              1 with value 26               7 with value 40
% 15.64/15.81  ;    12 with value 12              6 with value 28              36 with value 41
% 15.64/15.81  ;     7 with value 13             56 with value 31               7 with value 42
% 15.64/15.81  ;     2 with value 14              6 with value 32              12 with value 43
% 15.64/15.81  ;     9 with value 15             49 with value 34               6 with value 44
% 15.64/15.81  ;    13 with value 16             90 with value 35               6 with value 45
% 15.64/15.81  ;     6 with value 18              1 with value 36               1 with value 47
% 15.64/15.81  ;     4 with value 19             42 with value 37               1 with value 48
% 15.64/15.81  ; The agenda of rows to give has 17827 entries:
% 15.64/15.81  ;   124 with value (4 7)         263 with value (4 23)         270 with value (4 38)
% 15.64/15.81  ;   303 with value (4 8)         627 with value (4 24)         446 with value (4 39)
% 15.64/15.81  ;   552 with value (4 9)         666 with value (4 25)         278 with value (4 40)
% 15.64/15.81  ;   761 with value (4 10)        329 with value (4 26)         430 with value (4 41)
% 15.64/15.81  ;   629 with value (4 11)        234 with value (4 27)         408 with value (4 42)
% 15.64/15.81  ;   417 with value (4 12)        240 with value (4 28)         129 with value (4 43)
% 15.64/15.81  ;   200 with value (4 13)         57 with value (4 29)          32 with value (4 44)
% 15.64/15.81  ;   115 with value (4 14)       1242 with value (4 30)          13 with value (4 45)
% 15.64/15.81  ;    77 with value (4 15)       1166 with value (4 31)          45 with value (4 46)
% 15.64/15.81  ;   102 with value (4 16)        615 with value (4 32)         547 with value (4 47)
% 15.64/15.81  ;   378 with value (4 17)       1122 with value (4 33)          38 with value (4 48)
% 15.64/15.81  ;   237 with value (4 18)       1196 with value (4 34)           3 with value (4 51)
% 15.64/15.81  ;   106 with value (4 19)        920 with value (4 35)         252 with value (4 52)
% 15.64/15.81  ;   191 with value (4 20)        693 with value (4 36)          12 with value (4 53)
% 15.64/15.81  ;   348 with value (4 21)        772 with value (4 37)          48 with value (4 57)
% 15.64/15.81  ;   194 with value (4 22)
% 15.64/15.81  Evaluation took:
% 15.64/15.81    15.345 seconds of real time
% 15.64/15.81    14.804694 seconds of user run time
% 15.64/15.81    0.536711 seconds of system run time
% 15.64/15.81    [Run times include 2.007 seconds GC run time.]
% 15.64/15.81    0 calls to %EVAL
% 15.64/15.81    0 page faults and
% 15.64/15.81    1,077,557,880 bytes consed.
% 15.64/15.81  :PROOF-FOUND
% 15.64/15.81  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-05T05:31:52
% 15.64/15.81  :PROOF-FOUND
% 15.64/15.81  * 
%------------------------------------------------------------------------------